13721414167 has 8 divisors (see below), whose sum is σ = 14445572400. Its totient is φ = 12997453824.

The previous prime is 13721414159. The next prime is 13721414197. The reversal of 13721414167 is 76141412731.

13721414167 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13721414167 - 2³ = 13721414159 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13721414197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105309 + ... + 196297.

It is an arithmetic number, because the mean of its divisors is an integer number (1805696550).

Almost surely, 2^13721414167 is an apocalyptic number.

13721414167 is a deficient number, since it is larger than the sum of its proper divisors (724158233).

13721414167 is an equidigital number, since it uses as much as digits as its factorization.

13721414167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98945.

The product of its digits is 28224, while the sum is 37.

Adding to 13721414167 its reverse (76141412731), we get a palindrome (89862826898).

The spelling of 13721414167 in words is "thirteen billion, seven hundred twenty-one million, four hundred fourteen thousand, one hundred sixty-seven".